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Simplifying 5(x + 4) = 8(x + 3) Reorder the terms: 5(4 + x) = 8(x + 3) (4 * 5 + x * 5) = 8(x + 3) (20 + 5x) = 8(x + 3) Reorder the terms: 20 + 5x = 8(3 + x) 20 + 5x = (3 * 8 + x * 8) 20 + 5x = (24 + 8x) Solving 20 + 5x = 24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 20 + 5x + -8x = 24 + 8x + -8x Combine like terms: 5x + -8x = -3x 20 + -3x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + -3x = 24 + 0 20 + -3x = 24 Add '-20' to each side of the equation. 20 + -20 + -3x = 24 + -20 Combine like terms: 20 + -20 = 0 0 + -3x = 24 + -20 -3x = 24 + -20 Combine like terms: 24 + -20 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333
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